Answer: The value of x is -15/7.
Explanation:
To find the value of x in the given scenario, we need to use the concept of parallel lines and their corresponding angles. When two lines are parallel, the corresponding angles formed by a transversal (a line that intersects the parallel lines) are congruent.
In this case, we have two parallel lines, m and n, with a transversal nm. We are given two angles: 9x + 4 and 2x - 11. These angles are corresponding angles because they are on the same side of the transversal and are formed by the parallel lines.
According to the property of corresponding angles, we can set up an equation:
9x + 4 = 2x - 11
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 2x from both sides:
9x - 2x + 4 = -11
Simplifying the equation gives:
7x + 4 = -11
Next, we can isolate x by subtracting 4 from both sides:
7x = -15
Finally, we divide both sides by 7 to solve for x:
x = -15/7
Therefore, the value of x is -15/7.